Pizza Math

Choosing 3 toppings from 10 options means calculating "10 choose 3" — which equals 120 unique pizzas. Double the toppings to 6, and you jump to 210 combinations. The growth is not proportional — it follows a curve that explodes as the numbers increase. This is combinatorics at work, turning simple choices into surprisingly large numbers.

Hiring committees selecting 5 candidates from 30 applicants face C(30,5) = 142,506 possible groups. Coaches choosing a starting lineup, investors picking stocks for a portfolio — whenever you're selecting a subset without caring about arrangement, combinations are at work.